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Number of 2Xn 0..1 arrays with exactly floor(2Xn/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order
1

%I #4 Feb 23 2013 17:09:59

%S 0,0,4,3,10,32,44,176,326,888,2076,5275,12306,32324,74284,195959,

%T 460498,1189652,2861016,7307596,17774488,45231012,110756056,281073368,

%U 692630902,1752734824,4342317676,10967047059,27278066490,68820679380,171685581996

%N Number of 2Xn 0..1 arrays with exactly floor(2Xn/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order

%C Row 2 of A222509

%H R. H. Hardin, <a href="/A222510/b222510.txt">Table of n, a(n) for n = 1..123</a>

%e All solutions for n=3

%e ..0..0..1....0..0..0....0..1..1....0..0..0

%e ..0..0..0....0..0..1....1..1..1....1..0..0

%K nonn

%O 1,3

%A _R. H. Hardin_ Feb 23 2013